Power values of sums of products of consecutive integers

Lajos Hajdu; Shanta Laishram; Szabolcs Tengely

Acta Arithmetica (2016)

  • Volume: 172, Issue: 4, page 333-349
  • ISSN: 0065-1036

Abstract

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We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.

How to cite

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Lajos Hajdu, Shanta Laishram, and Szabolcs Tengely. "Power values of sums of products of consecutive integers." Acta Arithmetica 172.4 (2016): 333-349. <http://eudml.org/doc/279488>.

@article{LajosHajdu2016,
abstract = {We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.},
author = {Lajos Hajdu, Shanta Laishram, Szabolcs Tengely},
journal = {Acta Arithmetica},
keywords = {blocks of consecutive integers; perfect powers},
language = {eng},
number = {4},
pages = {333-349},
title = {Power values of sums of products of consecutive integers},
url = {http://eudml.org/doc/279488},
volume = {172},
year = {2016},
}

TY - JOUR
AU - Lajos Hajdu
AU - Shanta Laishram
AU - Szabolcs Tengely
TI - Power values of sums of products of consecutive integers
JO - Acta Arithmetica
PY - 2016
VL - 172
IS - 4
SP - 333
EP - 349
AB - We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.
LA - eng
KW - blocks of consecutive integers; perfect powers
UR - http://eudml.org/doc/279488
ER -

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